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22012100120020 = 2251693981766221
BaseRepresentation
bin1010000000101000101110…
…11010001000110111010100
32212221100002002211010211011
411000110113122020313110
510341121240112320040
6114452115202422004
74431215234605543
oct500242732106724
985840062733734
1022012100120020
11701730873310a
122576113961904
13c38969665c2a
14561569b4c15a
152828ba2ae3ea
hex140517688dd4

22012100120020 has 48 divisors (see below), whose sum is σ = 46258124120208. Its totient is φ = 8798610078720.

The previous prime is 22012100119979. The next prime is 22012100120089. The reversal of 22012100120020 is 2002100121022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2948013452484 + 19064086667536 = 1716978^2 + 4366244^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332370510 + ... + 332436730.

It is an arithmetic number, because the mean of its divisors is an integer number (963710919171).

Almost surely, 222012100120020 is an apocalyptic number.

22012100120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012100120020 is an abundant number, since it is smaller than the sum of its proper divisors (24246024000188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22012100120020 is a wasteful number, since it uses less digits than its factorization.

22012100120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77740 (or 77738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22012100120020 its reverse (2002100121022), we get a palindrome (24014200241042).

The spelling of 22012100120020 in words is "twenty-two trillion, twelve billion, one hundred million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 1693 3386 6772 8465 9817 16930 19634 33860 39268 49085 66221 98170 132442 196340 264884 331105 662210 1324420 16620181 33240362 66480724 83100905 112112153 166201810 224224306 332403620 448448612 560560765 650091557 1121121530 1300183114 2242243060 2600366228 3250457785 6500915570 13001831140 1100605006001 2201210012002 4402420024004 5503025030005 11006050060010 22012100120020